Details

analyze63.0ms (5.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample18.0ms (1.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify19.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune7.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2.0 (-.f64 (.f64 x x) (*.f64 x y)))
0.0b	(-.f64 (.f64 x x) (.f64 x y))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

8.0ms	(.f64 2.0 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(-.f64 (.f64 x x) (.f64 x y))

series15.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(.f64 2.0 (-.f64 (.f64 x x) (*.f64 x y)))
6.0ms	(-.f64 (.f64 x x) (.f64 x y))

simplify46.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4939	341
1	4939	341

prune47.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x 2.0) (-.f64 x y))

rewrite9.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x 2.0) (-.f64 x y))

series8.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x 2.0) (-.f64 x y))

simplify45.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5109	220

prune29.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 x y))
0.1b	(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
9.4b	(sqrt.f64 (*.f64 x (-.f64 x y)))
9.4b	(sqrt.f64 (*.f64 x (-.f64 x y)))

rewrite36.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-div_binary64`
12×	`*-un-lft-identity_binary64` `pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow2_binary64`

Counts

4 → 107

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
7.0ms	(*.f64 x (-.f64 x y))
5.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))
5.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))

series39.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))
11.0ms	(sqrt.f64 (*.f64 x (-.f64 x y)))
7.0ms	(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
6.0ms	(*.f64 x (-.f64 x y))

simplify43.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5368	845

prune110.0ms (10%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes177.0ms (16%)

Accuracy

Total 0.0b remaining (61.6%)

Threshold costs 0.0b (61.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample364.0ms (32.9%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	80	valid
4.0ms	163×	body	80	invalid

Details

analyze63.0ms (5.7%)

sample18.0ms (1.6%)

simplify19.0ms (1.7%)

prune7.0ms (0.7%)

localize5.0ms (0.5%)

rewrite13.0ms (1.1%)

series15.0ms (1.3%)

simplify46.0ms (4.2%)

prune47.0ms (4.2%)

localize5.0ms (0.4%)

rewrite9.0ms (0.8%)

series8.0ms (0.7%)

simplify45.0ms (4.1%)

prune29.0ms (2.7%)

localize7.0ms (0.6%)

rewrite36.0ms (3.2%)

series39.0ms (3.5%)

simplify43.0ms (3.9%)

prune110.0ms (10%)

regimes177.0ms (16%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample364.0ms (32.9%)

Profiling